206820073000 has 128 divisors (see below), whose sum is σ = 517784716800. Its totient is φ = 77088672000.

The previous prime is 206820072959. The next prime is 206820073021. The reversal of 206820073000 is 370028602.

It is a self number, because there is not a number n which added to its sum of digits gives 206820073000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069777 + ... + 1248223.

It is an arithmetic number, because the mean of its divisors is an integer number (4045193100).

Almost surely, 2^206820073000 is an apocalyptic number.

206820073000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206820073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258892358400).

206820073000 is an abundant number, since it is smaller than the sum of its proper divisors (310964643800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206820073000 is a wasteful number, since it uses less digits than its factorization.

206820073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178548 (or 178534 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 206820073000 in words is "two hundred six billion, eight hundred twenty million, seventy-three thousand".